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Finding the Fourth Proportional to 450,233.52, 675,385.80 and 150,715.20

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Solution

The fourth proportional to 450,233.52, 675,385.80 and 150,715.20 is: 226,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,233.52 : 675,385.80 = 150,715.20 : x
  2. Step 2: Convert to fraction form
    450,233.52/675,385.80 = 150,715.20/x
  3. Step 3: Cross multiply
    450,233.52x = 675,385.80 × 150,715.20
  4. Step 4: Simplify right side
    450,233.52x = 101,790,905,924.16
  5. Step 5: Solve for x
    x = 101,790,905,924.16/450,233.52
  6. Step 6: Final answer
    x = 226,084.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.